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초록· 키워드
오류제보하기
We prove that a countably condensing operator defined on
a closed wedge in a Banach space has a fixed point if it is strictly quasibounded,
by using an index theory for such operators. From this, the
existence of eigenvalues and surjectivity are deduced
목차
등록된 정보가 없습니다.
참고문헌 (13)
참고문헌 신청
A. Vignoli / 1971 / On quasibounded mappings and nonlinear functional equations / Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche Matematiche e Naturali
E. Zeidler / 1986 / Nonlinear Functional Analysis and its Applications. I. / Springer-Verlag
G. Isac / 2004 / Scalar derivatives and scalar asymptotic derivatives. An Altman type fixed point theorem on convex cones and some applications / Journal of Mathematical Anal
G. Isac / 2006 / Fixed points and positive eigenvalues for nonlinear operators / Journal of Mathematical Analysis and Applications 314 (2) : 500 ~ 512
G. Lumer / 1961 / Semi-inner-product spaces / Transactions of the American Mathematical Society 100 : 29 ~ 43
E. Zeidler / 1986 / Nonlinear Functional Analysis and its Applications. I. / Springer-Verlag
G. Isac / 2004 / Scalar derivatives and scalar asymptotic derivatives. An Altman type fixed point theorem on convex cones and some applications / Journal of Mathematical Anal
G. Isac / 2006 / Fixed points and positive eigenvalues for nonlinear operators / Journal of Mathematical Analysis and Applications 314 (2) : 500 ~ 512
G. Lumer / 1961 / Semi-inner-product spaces / Transactions of the American Mathematical Society 100 : 29 ~ 43
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